What is the Average Salary of All Workers?

[sara_87]

Homework Statement

The average salary of all female workers is £35,000. The average salary of all male workers is £41,000. What must be true about the average salary of all workers?
A) It must be £38,000.
B) It must be larger than the median salary.
C) It could be any number between £35,000 and £41,000.
D) It must be larger than £38,000.

Homework Equations

The Attempt at a Solution

i think the answe is (C) but I'm not sure

 

[Mathdope]

If there are F female workers and M male workers, then the average salary is (35000F +41000M)/(F+M). If F is fixed and you allow M to vary between 0 and infinity what do you find?

 

[sara_87]

oh so if we allow M to vary then (C) is the correct answer...right?

 

[Mathdope]

Aye indeed.